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- Title
On the internal and boundary stabilization of a nonlinear suspension bridge system: Exponential and polynomial decay rates.
- Authors
Mugbil, Ahmad; Al-Gharabli, Mohammad M.; Al-Mahdi, Adel M.; Soufyane, Abdelaziz
- Abstract
In this paper, we study the asymptotic behavior of solutions for unconstrained one dimensional suspension bridge model. We dissipate the system with two nonlinear dampings of variable exponents-type. We obtain exponential and polynomial decay results based on the range of the variable exponents by using the multiplier method. Our results built on, developed and generalized some earlier results in the literature.
- Subjects
SUSPENSION bridges; MOTOR vehicle springs &; suspension; POLYNOMIALS; EXPONENTS; NONLINEAR systems
- Publication
Evolution Equations & Control Theory, 2024, Vol 13, Issue 4, p1
- ISSN
2163-2472
- Publication type
Article
- DOI
10.3934/eect.2024022